log 0.5 to the base 4
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log 0.5 to the base 4
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Answer:
Log base
4
of
0.5
is approximately
−0.5.
-0.5
Step-by-step explanation:
[tex] log_{4}(0.5 ) [/tex]
Let it be x
Therefore
[tex] {4}^{x} = 0.5[/tex]
Now taking log both sides,
[tex] log( {4}^{x} ) = log(0.5) [/tex]
which is equal to
[tex]x log(4) = log(0.5) [/tex]
Now
[tex]x = log(0.5) \div log(4) [/tex]
Therefore you get
x= -0.5